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Finding the Fourth Proportional to 3,787.52, 5,675.52 and 2,809.04

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Solution

The fourth proportional to 3,787.52, 5,675.52 and 2,809.04 is: 4,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.52 : 5,675.52 = 2,809.04 : x
  2. Step 2: Convert to fraction form
    3,787.52/5,675.52 = 2,809.04/x
  3. Step 3: Cross multiply
    3,787.52x = 5,675.52 × 2,809.04
  4. Step 4: Simplify right side
    3,787.52x = 15,942,762.70
  5. Step 5: Solve for x
    x = 15,942,762.70/3,787.52
  6. Step 6: Final answer
    x = 4,209.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.